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MA103 Week 11 Report - Antiderivatives; Reimann Sums; Area under a Curve;Definite IntegralsName:Student Number:LabFall 20121. [3marks] Determine a functionfwith domain (0,1] that has slope2√1-xxand passes through thepoint (1,2π).12. [4marks] Suppose that the acceleration of a particle, inm/s2, is given bya(t) = 3 sin(t) + 2 cos(t). Determinethe particle’s position (displacement) function if its initial velocity isv(0) = 3m/sand its initial position iss(0) = 0m.1